ENGLISH

Invariants for homology 3-spheres

By R.V. Gamkrelidze , Nikolai Saveliev , A. Vassiiev

Book information

Publisher
Springer
Year
2002
ISBN
3540437967, 9783540437963
Open Library ID
OL9057803M
Language
english
Format
DJVU
Filesize
2 MB (1755322 bytes)
Series
Encyclopaedia of mathematical sciences, Low-dimensional topology 140., 1 0938-0396
Edition
1
Pages
227\227
Topic
Mathematics Algebra
Library
Kolxo3
DPI
600
Scanned
yes
Time added
2009-07-20 03:45:11

Description

Homology 3-sphere is a closed 3-dimensional manifold whose homology equals that of the 3-sphere. These objects may look rather special but they have played an outstanding role in geometric topology for the past fifty years. The book gives a systematic exposition of diverse ideas and methods in the area, from algebraic topology of manifolds to invariants arising from quantum field theories. The main topics covered are constructions and classification of homology 3-spheres, Rokhlin invariant, Casson invariant and its extensions, including invariants of Walker and Lescop, Herald and Lin invariants of knots, and equivariant Casson invariants, Floer homology and gauge-theoretical invariants of homology cobordism. Many of the topics covered in the book appear in monograph form for the first time. The book gives a rather broad overview of ideas and methods and provides a comprehensive bibliography. It will be appealing to both graduate students and researchers in mathematics and theoretical physics.

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